Correlation length of the two-dimensional Ising spin glass with bimodal interactions

Abstract

We study the correlation length of the two-dimensional Edwards-Anderson Ising spin glass with bimodal interactions using a combination of parallel tempering Monte Carlo and a rejection-free cluster algorithm in order to speed up equilibration. Our results show that the correlation length grows ~ exp(2J/T) suggesting through hyperscaling that the degenerate ground state is separated from the first excited state by an energy gap ~4J, as would naively be expected.

arXiv comment5 pages, 4 figures, 2 tables

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• A Worm Algorithm for Two-Dimensional Spin Glasses
• An exact algorithm for spin correlation functions of the two dimensional +/-J Ising spin glass in the ground state
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• Aspect-Ratio Scaling of Domain Wall Entropy for the 2D $\pm J$ Ising Spin Glass
• The bimodal Ising spin glass in dimension two : the anomalous dimension $\eta$
• Excitations of the bimodal Ising spin glass on the brickwork lattice
• The Compressible Ising Spin Glass: Simulation Results
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• Finite-Size Scaling in the Energy-Entropy Plane for the 2D +- J Ising Spin Glass
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